Abstract
The reflexive property for rings was introduced by Mason and play roles in noncommutative ring theory. A ring R is called reflexive if for a, b in R, aRb = 0 implies bRa = 0. Recently, Kheradmand et al. introduced the notion of RNP (reflexive-nilpotents-property) rings by restricting the reflexive property to nilpotent elements. In this article, we study reflexive-nilpotents-property skewed by a ring endomorphism alpha and introduce the notion of alpha -skew RNP rings. We investigate various properties and extensions of these rings and also determine the structure of minimal noncommutative alpha -skew RNP rings.
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